125206352 has 60 divisors (see below), whose sum is σ = 261495540. Its totient is φ = 58046976.

The previous prime is 125206351. The next prime is 125206363. The reversal of 125206352 is 253602521.

It can be written as a sum of positive squares in 2 ways, for example, as 103713856 + 21492496 = 10184^2 + 4636^2 .

It is a super-2 number, since 2×125206352² = 31353261162295808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125206351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305924 + ... + 306332.

It is an arithmetic number, because the mean of its divisors is an integer number (4358259).

Almost surely, 2^125206352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125206352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130747770).

125206352 is an abundant number, since it is smaller than the sum of its proper divisors (136289188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125206352 is a wasteful number, since it uses less digits than its factorization.

125206352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 125206352 is about 11189.5644240515. The cubic root of 125206352 is about 500.2749847391.

Adding to 125206352 its reverse (253602521), we get a palindrome (378808873).

The spelling of 125206352 in words is "one hundred twenty-five million, two hundred six thousand, three hundred fifty-two".